53 citations · 61 across the 6 of their papers we have counts for
5 papers · 1 filter
Symmetric Spaces with Rectangular Unit Lattices, Revisited
Jost-Hinrich Eschenburg, Ernst Heintze, Peter Quast
We give a new proof of a theorem of Loos stating that a Riemannian symmetric space X with rectangular unit lattice is a symmetric R-space. For this we construct explicitly an isome…
Extrinsically Symmetric Spaces, Submanifolds of Clifford Type and a Theorem of Harish-Chandra
Jost-Hinrich Eschenburg, Ernst Heintze, Peter Quast
We prove that a compact, intrinsically symmetric submanifold of a Euclidean space is extrinsically symmetric if and only if its maximal tori are Clifford tori in the ambient space.…
Homogeneous structures and rigidity of isoparametric submanifolds in Hilbert space
Claudio Gorodski, Ernst Heintze
We study isoparametric submanifolds of rank at least two in a separable Hilbert space, which are known to be homogeneous by a result of Heintze and Liu, and associate to such a sub…
Isoparametric submanifolds and a Chevalley-type restriction theorem
Ernst Heintze, Xiaobo Liu, Carlos Olmos
We define and study isoparametric submanifolds of general ambient spaces and of arbitrary codimension. In particular we study their behaviour with respect to Riemannian submersions…
Homogeneity of infinite dimensional isoparametric submanifolds
Ernst Heintze, Xiaobo Liu
A subset S of a Riemannian manifold N is called extrinsically homogeneous if S is an orbit of a subgroup of the isometry group of N. Thorbergsson proved the remarkable result that…